what is the vertex of the graph of $y = -x^2$?

* $(-1, 0)$
* $(0, 0)$
* $(0, -1)$
* $(1, 1)$

Question

what is the vertex of the graph of $y = -x^2$?

* $(-1, 0)$
* $(0, 0)$
* $(0, -1)$
* $(1, 1)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Functions" ], "new_concepts": [], "current_concepts": [ "Quadratic Functions", "Vertex of a Parabola" ] } ## Identify the vertex form parameters $$ \begin{aligned} &y = a(x - h)^2 + k \ &y = -x^2 \implies y = -1(x - 0)^2 + 0 \end{aligned} $$ ## Determine the vertex coordinates $$ \begin{aligned} &(h, k) = (0, 0) \end{aligned} $$

(-1, 0)

(0, 0)

(0, -1)

(1, 1)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Vertex of a Parabola" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the vertex form parameters

Determine the vertex coordinates

Answer: